Spangler: a Fractal Sequence Display Algorithm
What is Spangler?
Spangler is a graphics algorithm that displays number sequences
(for example 2,6,5,4,3) in a fashion that can be described in english as
"Draw 3 groups of 4 groups of 5 groups of figures with 6 vertices where the lines
travel a distance of 2 vertices."
Is there software?
- The Spangler Applet
- A simple Java applet that lets you navigate around the Spangler Set
(ha ha) using just arrow keys.
- Form Interface
- The same Java applet but with an HTML form interface.
- SpanglerSVG
- SVG and Javascript for Firefox should rock...
- The Spangler CGI
- This factory for .gif, .eps and .ai files will soon be available.
(Exists, but not polished enough to deploy.)
- The Spangler Animator
- Creates .gif animations.
(Exists, but not polished enough to deploy.)
- The Spangler guile plugin for the gimp
- Creates spanglers in the gimp.
(Exists, but not polished enough to deploy.)
- The Squeak Pen geometrical algorithm
- Creates spanglers in squeak, perhaps ultimately as a
feature in the paint proggy.
(In progress)
- The Spangler App
- A Java application that does all of the above.
(Expected: don't hold your breath)
Is there an archive of nifty spangles?
Here is a Spangle archive.
Please submit your own really amazing favorites via email to
shawn.murphy@smurp.com.
If you want to specify which digit to color, just put it in
parentheses:
1 3 5 2 (9)
Spangler Examples
| description | spangle spec | image |
| Triangle | 1 3 |  |
| Square | 1 4 |  |
| Pentacle | 2 5 |  |
| Star of David | 2 6 |  |
Sierpinski's
Triangle | 1 3 3 |
|
Sierpinski's
Triangle | 1 3 3 3 |
|
Sierpinski's
Triangle | 1 3 3 3 3 |
|
| a rather pretty one |
1 3 5 2 9 |  |
|
